Explanation:
When two points on a line are given, you can find the equation of the line using the point-slope formula:
y - y1 = m(x - x1)
Where (x1, y1) is one of the points on the line, and "m" is the slope.
In this case, the points are (8, 6) and (-3, 6), which lie on a horizontal line because they both have the same y-coordinate (y = 6).
The slope for a horizontal line is always 0 because it doesn't change in the y-direction. So, we have:
m = 0
Now, let's choose one of the points, say (8, 6), and use the point-slope formula:
y - 6 = 0(x - 8)
Since the slope is 0, the equation simplifies to:
y - 6 = 0
Now, add 6 to both sides of the equation:
y = 6
So, the equation of the line that passes through the points (8, 6) and (-3, 6) is simply:
y = 6
solved by "MG"